A general Kastler-Kalau-Walze type theorem for manifolds with boundary
A general Kastler-Kalau-Walze type theorem for manifolds with boundary
复制标题
有边界流形的一般 Kastler-Kalau-Walze 型定理
DOI：
10.1142/s0219887816500031
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发表时间：
2016
影响因子：
1.8
通讯作者：
Wang Y
中科院分区：
文献类型：
--
作者：
Wang Jian;Wang Yong;Wang Y
本文对任意维有边流形建立了一个一般的Kastler-Kalau-Walze型定理，推广了[Y. Wang，低维体积与有界流形的Kastler-Kalau-Walze型定理，Commun. Theor. 54（2010）38-42]。这解决了[J。Wang和Y。]裁判的问题。王，五维有边流形的Kastler-Kalau-Walze型定理，国际几何方法学杂志。Mod. Phys. 12（5）（2015），文章ID：1550064，34 pp.]，它是根据流形上的几何数据的低维体积的一般表达式。
In this paper, we establish a general Kastler–Kalau–Walze type theorem for any dimensional manifolds with boundary which generalizes the results in [Y. Wang, Lower-dimensional volumes and Kastler–Kalau–Walze type theorem for manifolds with bound-ary, Commun. Theor. Phys. 54 (2010) 38–42]. This solves a problem of the referee of [J.Wang and Y. Wang, A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary, Int. J. Geom. Meth. Mod. Phys. 12(5) (2015), Article ID: 1550064, 34 pp.], which is a general expression of the lower dimensional volumes in terms of the geometric data on the manifold.